Answer:
2 _ 3x. 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the x-axis. 0 Replace X X 3 35+2 3 -(x+7).
Step-by-step explanation:
Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.
Answer:
[tex]f(n) = 5 + f(n - 1)[/tex]
Step-by-step explanation:
Given
[tex]f(n) = 5n - 2[/tex]
Required
Write a recursive expression
[tex]f(n) = 5n - 2[/tex]
When n = 1
[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]
[tex]f(1) = 3[/tex]
When n = 2
[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]
[tex]f(2) = 8[/tex] can be rewritten as
[tex]f(2) = 5 + 3[/tex]
Substitute 3 for f(1)
[tex]f(2) = 5 + f(1)[/tex]
Express 1 as 2 - 1
[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)
When n = 3
[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]
[tex]f(3) = 13[/tex] can be rewritten as
[tex]f(3) = 5 + 8[/tex]
Substitute 8 for f(2)
[tex]f(3) = 5 + f(2)[/tex]
Express 2 as 3 - 1
[tex]f(3) = 5 + f(3 - 1)[/tex] ------ (2)
Write out (1) and (2)
[tex]f(2) = 5 + f(2-1)[/tex]
[tex]f(3) = 5 + f(3 - 1)[/tex]
Replace 2 and 3 with n in both cases; This gives
[tex]f(n) = 5 + f(n - 1)[/tex]
Hence;
The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]
Solve S=BC-8 for B
..
Answer:B = S C + 8 C
The table shows the speeds and time that each person traveled.
A 3-column table with 3 rows. Column 1 is labeled Person with entries Mel, Ben, Pia. Column 2 is labeled Speed (kilometers per hour) with entries 97, 102, 93. Column 3 is labeled Time (hours) with entries 3, 2, 2.
Approximately how many kilometers did the three people drive in all?
292 kilometers
584 kilometers
681 kilometers
876 kilometers
Answer:
681
Step-by-step explanation:
multipy the speed by distance and time
Answer:
681
Step-by-step explanation:
If the CI on a sum of money for 3 years at
the rate of 2% per annum is 306.04, then
what will be the SI?
Answer:
Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loanCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nSimple Interest = 5000*0.02*3=300A cube has edges measuring 5 inches. Find the surface area of the cube.
5 inches
102 square inches
100 square inches
150 square inches
105 square inches
С
d
Answer:
150 square inches
Step-by-step explanation:
The surface area is the exposed area, which would be 6 sides with an area of 25 and 25x6 is 150
Answer:
150 square inches
Step-by-step explanation:
The surface area of the cube is
[tex]S_A=A_1+A_2+A_3+A_4+A_5+A_6[/tex]
but it's a cube so all the areas are the same
[tex]S_A=6A_1[/tex]
and the area of
[tex]A_1=l^2[/tex]
[tex]l=5\\\\A_1=5^2\\\\A_1=25[/tex]
so the surface area is
[tex]S_A=6(25)\\\\S_A=150[/tex]square inches
What do you observe about the distances between the three pairs of corresponding vertices for each movement Based on your observations, how would you define a translation? How can you extend what you know about the vertices of a shape to all the points on a shape during a translation?
Answer:
The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'
Step-by-step explanation:
The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'
from this observation Translation is the movement of all vertices of shapes at a fixed distance along a given co-ordinate, The movement of the vertices of a shape at a fixed distance is just another way of defining the movement of the points of a shape at a fixed distance in relation to translation
Answer:
Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.
Step-by-step explanation:
3526.48502 to 2 decimal places
Answer:
3526.48502
3526.49 as after 8 there is 5 and more than
Step-by-step explanation:
Answer:
3526.49
Step-by-step explanation:
You look at two 2dp after the decimal point. It is 8. You look to the number on the right which is 5 so you round up to 9.
24x27= Will give brainless
Answer:
648
Step-by-step explanation:
here u go
Answer:
648
Step-by-step explanation:
24 x 27 = 648
What are the coordinates of point S? (-3/4, 1/2) (-1/2, -3/4) (1/2, -3/4) (3/4, 1/2)
!!25 POINTS!!
Name Y Z two other ways.
Answer:
Step-by-step explanation:
would it be C.
Y, Z
How will you write 5 × 5 × 5 × 5 × 5 as an exponential expression?
Answer:
5 5
Step-by-step explanation:
the second five is small five
Which number is irrational?
16.5%
0.0675
8 3/4
3.14
Answer:
3.14
Step-by-step explanation:
it will go on foreever
PLEASE HELP!!!!! ITS DUE SOON
The table below shows the number of school absences each day.
A 2-column table with 6 rows. Column 1 is labeled Day (x) with entries 1, 2, 3, 5, 6, 7. Column 2 is labeled Absences (y) with entries 10, 6, 2, 10, 6, 2.
Which equation models the data in the table?
y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
y = 2 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
Answer:
A
Step-by-step explanation:
did it on edge soo there ya go
Answer:
a
Step-by-step explanation:
Convert the fraction into a percentage.
1
7
10
=
%
Answer:
170%
Step-by-step explanation:
n(x)=2x+7;(x)=17, what is the value of x so that the function has a given value
-4v = -9v + 10 V=
Help
Answer:
v=2
Step-by-step explanation:
5v=10
v=2
Select all the steps that you could use to subtract a negative fraction from a positive decimal. A. Subtract the absolute value of the decimal. B. Convert both numbers into fraction form. C. Convert both numbers into decimal form. D. Add the negative number to the positive number. E. Add the opposite of the negative number to the positive number.
the answers are A, D, and E
The problem can only be easily solved if the values are either all converted to fractions or all converted to decimal.
The steps that could be used to subtract a negative fraction from a positive decimal are;
Convert both numbers into fraction form Convert both numbers into decimal form Add the negative number to the positive numberIt is important that the both values are converted either to fraction or to decimal for ease of computation.
After this step is done, the negative number can now be added to the negative number and the result is recorded.
Learn more: https://brainly.com/question/13042975
Maria wants to purchase a shirt for $30. She also wants to purchase a purse for $60. She has to pay 7.5% sales tax on her purchase. What will be the total amount Maria pays including tax.
A. $96.75
B. $6.75
C. $83.25
D. $90.00
‼️Please help me‼️Use the number line to find FB. Enter your answer as a number
Answer:
-11
Step-by-step explanation:
the formula for the distannce of AB with A the starting point is
B-A
so in this case
FB
F is the starting point
-6-5=-11
Equation: 2n +n/2=10
Answer:
5
Step-by-step explanation:
Convert the fraction into a percentage. 6 2 5 = %
Answer:
625%
Step-by-step explanation:
What is the product of (-a + 3)(a + 4)
Answer:
-a^2-a+12
Step-by-step explanation:
After multiplying and opening the brackets
we get
-a^2-4a+3a+12
=-a^2-a+12. ( simplifying)
hope it helps.....
Answer:
[tex] \boxed{\sf -a^2 - a + 12} [/tex]
Step-by-step explanation:
⇒(-a + 3)(a + 4)
⇒-a(a + 4) + 3(a + 4)
⇒(-a)(a) + (-a)(4) + (3)(a) + (3)(4)
⇒-a² - 4a + 3a + 12
⇒-a² - a + 12
The quotient of the three times a number and the quantity 4 plus the same number. Use n.
if the quotient of three times a number and four is decreased by three, the result is nine. whats the number
Answer :Trevor,
number = x
(3x÷ 4) - 3 = 9
Use a common denominator 4: 3x - 12 = 36
3x = 48
x = 16
Does it fit the original equation?
[(3 x 16) ÷ 4] -3 = (48 ÷ 4) -3 = 12 - 3 = 9
Hope it helps
Hi.
Please i need help with this question.
Workings Please
Note : 100k = N1
So , N1.10 = 110k.
Thanks.
<3
Answer: E. N1.10
Step-by-step explanation:
18 words cost a total of 35k
48 - 18 = 30 additional words cost 2.5k each: 30 × 2.5 = 75k
35k + 75k = 110k
= N1.10
The graph shows the number of miles traveled by a train over a 5 hour trip.
180
160
140
120
100
Miles
Traveled
80
60
40
20
0
1
2
4
5
3
Hours
How fast is the train traveling?
A. 30 miles per hour
B. 32.5 miles per hour
C. 35 miles per hour
D. 40 miles per hour
Answer: 35
Step-by-step explanation:
Explain what mistake was made in the problem below and what should be the
right answer.
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6
Answer:
Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.
Step-by-step explanation:
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6
My work:
2(x+4)-8=3x+10-4
2x+8-8=3x+6
2x=3x+6
-x=6
x=-6
To estimate your average monthly salary, divide your yearly salary, y, by the
number of months in a year. Write and solve an equation to determine your
yearly salary when your average monthly salary is $4560.
Answer:
$54,720
Step-by-step explanation:
If you make $4560 a month and there are 12 months in a year the equation would be...
$4560 * 12 = yearly salary
4560 * 12 = 54720
So your yearly salary is $54,720
Hope this helps!
Find the slope of the line through (2, -3) and (-4, 3).
We can use the given points to solve.
Slope formula: y2-y1/x2-x1
3-(-3)/-4-2
6/-6
-1
Best of Luck!
(2, -3) and (-4, 3)
To Find:The slope of the line through (2, -3) and (-4, 3).
Slope Formula:y2 - y1 / x2 - x1
Solution:3 + 3 / -4 - 2
= 6 / -6
= -1
Answer:-1
Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He
sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for
these graphs?
none
one
two
infinitely many
Answer:
The answer would be two because one of the lines would be a parabolic line and parabolic lines only have at the most two solutions.
The greatest possible number of intersections for the graphs is two.
What is the greatest possible number of intersections of the graph?It follows from the task content that the two graphs involved are;
A linear and quadratic graph.By convention, a quadratic graph produces a parabola and a linear graph produces a straight line. On this note, it follows that the best case of intersection is when the straight line crosses over the parabola and hence leading to two points of intersection.
Read more on linear and quadratic expressions;
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